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Paper IPM / M / 16968  


Abstract:  
In this paper, we study variational inequality problem over the set of common solutions of a system of bilevel variational inequality problem. We present a new and efficient iterative method for solving this problem and establish its strong convergence. As applications, we use
our algorithm for solving the multiple set split variational inequality problem, the hierarchical variational inequality problem, the bilevel variational inequality problem and hierarchical minimization problem.
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